506836800 has 252 divisors, whose sum is σ = 1834122316. Its totient is φ = 132710400.

The previous prime is 506836699. The next prime is 506836801. The reversal of 506836800 is 8638605.

It can be written as a sum of positive squares in 6 ways, for example, as 4359744 + 502477056 = 2088^2 + 22416^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506836801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 878112 + ... + 878688.

Almost surely, 2^506836800 is an apocalyptic number.

506836800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917061158).

506836800 is an abundant number, since it is smaller than the sum of its proper divisors (1327285516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506836800 is a wasteful number, since it uses less digits than its factorization.

506836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 506836800 is about 22513.0362234862. The cubic root of 506836800 is about 797.3017428253.

The spelling of 506836800 in words is "five hundred six million, eight hundred thirty-six thousand, eight hundred".